메뉴 건너뛰기




Volumn 467, Issue 2127, 2011, Pages 760-777

Simple shearing of soft biological tissues

Author keywords

Hydrostatic stresses; cavitation; Nonlinear elasticity; Simple shear; Soft biological tissues; Stretch induced stiffening of collagen fibres

Indexed keywords

CAVITATION; COLLAGEN; ELASTICITY; HISTOLOGY; HYDRAULICS; HYDRODYNAMICS; HYDROSTATIC PRESSURE; SHEAR FLOW; SHEARING; SHEARING MACHINES;

EID: 79952358130     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2010.0288     Document Type: Article
Times cited : (54)

References (44)
  • 1
    • 33846128739 scopus 로고    scopus 로고
    • Measurement of shear elasticity and viscosity of rubberlike materials
    • DOI 10.1134/S1063771007010058
    • Andreev, V. G. & Burlakova, T. A. 2007 Measurement of shear elasticity and viscosity of rubberlike materials. Acoust. Phys. 53, 44-47. (doi:10.1134/S1063771007010058) (Pubitemid 46088419)
    • (2007) Acoustical Physics , vol.53 , Issue.1 , pp. 44-47
    • Andreev, V.G.1    Burlakova, T.A.2
  • 4
    • 0033754935 scopus 로고    scopus 로고
    • A triaxial-measurement sheartest device for soft biological tissues
    • doi:10.1115/1.1289624
    • Dokos, S., LeGrice, I. J., Smaill, B. H., Kar, J. & Young, A. A. 2000 A triaxial-measurement sheartest device for soft biological tissues. J. Biomech. Eng. 122, 471-478. (doi:10.1115/1.1289624)
    • (2000) J. Biomech. Eng. , vol.122 , pp. 471-478
    • Dokos, S.1    LeGrice, I.J.2    Smaill, B.H.3    Kar, J.4    Young, A.A.5
  • 6
    • 0035027406 scopus 로고    scopus 로고
    • Simple shear testing of parallel-fibered planar soft tissues
    • DOI 10.1115/1.1351891
    • Gardiner, J. C. & Weiss, J. A. 2001 Simple shear testing of parallel-fibered planar soft tissues. J. Biomech. Eng. 123, 170-175. (doi:10.1115/1.1351891) (Pubitemid 32385201)
    • (2001) Journal of Biomechanical Engineering , vol.123 , Issue.2 , pp. 170-175
    • Gardiner, J.C.1    Weiss, J.A.2
  • 7
    • 0002163820 scopus 로고    scopus 로고
    • A new constitutive relation for rubber
    • Gent, A. N. 1996 A new constitutive relation for rubber. Rubber Chem. Technol. 69, 59-61. (Pubitemid 126598076)
    • (1996) Rubber Chemistry and Technology , vol.69 , Issue.1 , pp. 59-61
    • Gent, A.N.1
  • 8
    • 0000951184 scopus 로고
    • Internal rupture of bonded rubber cylinders in tension
    • doi:10.1098/rspa.1959.0016
    • Gent, A. N. & Lindley, P. B. 1958 Internal rupture of bonded rubber cylinders in tension. Proc. R. Soc. Lond. A 249, 195-205. (doi:10.1098/rspa. 1959.0016)
    • (1958) Proc. R. Soc. Lond. A , vol.249 , pp. 195-205
    • Gent, A.N.1    Lindley, P.B.2
  • 9
    • 34247491921 scopus 로고    scopus 로고
    • Mechanics of rubber shear springs
    • DOI 10.1016/j.ijnonlinmec.2006.11.006, PII S0020746206001053, Special Issue in Honour of Dr Ronald S. Rivlin
    • Gent, A. N., Suh, J. B. & Kelly III, S. G. 2007 Mechanics of rubber shear springs. Int. J. Nonlinear Mech. 42, 241-249. (doi:10.1016/j.ijnonlinmec. 2006.11.006) (Pubitemid 46653993)
    • (2007) International Journal of Non-Linear Mechanics , vol.42 , Issue.2 , pp. 241-249
    • Gent, A.N.1    Suh, J.B.2    Kelly III, S.G.3
  • 12
    • 69649106670 scopus 로고    scopus 로고
    • Constitutive modelling of passive myocardium: A structurally based framework for material characterization
    • doi:10.1098/rsta.2009.0091
    • Holzapfel, G. A. & Ogden, R. W. 2009a Constitutive modelling of passive myocardium: A structurally based framework for material characterization. Phil. Trans. R. Soc. A 367, 3445-3475. (doi:10.1098/rsta.2009. 0091)
    • (2009) Phil. Trans. R. Soc. A , vol.367 , pp. 3445-3475
    • Holzapfel, G.A.1    Ogden, R.W.2
  • 13
    • 67649873302 scopus 로고    scopus 로고
    • On planar biaxial tests for anisotropic nonlinearly elastic solids
    • doi:10.1177/1081286507084411
    • Holzapfel, G. A. & Ogden, R. W. 2009b On planar biaxial tests for anisotropic nonlinearly elastic solids. Math. Mech. Solids 14, 474-489. (doi:10.1177/1081286507084411)
    • (2009) Math. Mech. Solids , vol.14 , pp. 474-489
    • Holzapfel, G.A.1    Ogden, R.W.2
  • 14
    • 77953418030 scopus 로고    scopus 로고
    • Constitutive modelling of arteries
    • doi:10.1098/rspa.2010.0058
    • Holzapfel, G. A. & Ogden, R. W. 2010 Constitutive modelling of arteries. Proc. R. Soc. A 466, 1551-1597. (doi:10.1098/rspa.2010.0058)
    • (2010) Proc. R. Soc. A , vol.466 , pp. 1551-1597
    • Holzapfel, G.A.1    Ogden, R.W.2
  • 15
    • 76649089284 scopus 로고    scopus 로고
    • Simple shearing of incompressible and slightly compressible isotropic nonlinearly elastic materials
    • doi:10.1007/s10659-009-9225-1
    • Horgan, C. O. & Murphy, J. G. 2010 Simple shearing of incompressible and slightly compressible isotropic nonlinearly elastic materials. J. Elasticity 98, 205-221. (doi:10.1007/s10659-009-9225-1)
    • (2010) J. Elasticity , vol.98 , pp. 205-221
    • Horgan, C.O.1    Murphy, J.G.2
  • 16
    • 84997133578 scopus 로고
    • Cavitation in nonlinearly elastic solids: A review
    • doi:10.1115/1.3005108
    • Horgan, C. O. & Polignone, D. A. 1995 Cavitation in nonlinearly elastic solids: A review. Appl. Mech. Rev. 48, 471-485. (doi:10.1115/1.3005108)
    • (1995) Appl. Mech. Rev. , vol.48 , pp. 471-485
    • Horgan, C.O.1    Polignone, D.A.2
  • 17
    • 0036695696 scopus 로고    scopus 로고
    • Constitutive modeling of rubber-like and biological materials with limiting chain extensibility
    • doi:10.1177/108128028477
    • Horgan, C. O. & Saccomandi, G. 2002 Constitutive modeling of rubber-like and biological materials with limiting chain extensibility. Math. Mech. Solids 7, 353-371. (doi:10.1177/10812 8028477)
    • (2002) Math. Mech. Solids , vol.7 , pp. 353-371
    • Horgan, C.O.1    Saccomandi, G.2
  • 18
    • 0242397056 scopus 로고    scopus 로고
    • A description of arterial wall mechanics using limiting chain extensibility constitutive models
    • doi:10.1007/s10237-002-0022-z
    • Horgan, C. O. & Saccomandi, G. 2003 A description of arterial wall mechanics using limiting chain extensibility constitutive models. Biomech. Model. Mechanobiol. 1, 251-266. (doi:10.1007/s10237-002-0022-z)
    • (2003) Biomech. Model. Mechanobiol. , vol.1 , pp. 251-266
    • Horgan, C.O.1    Saccomandi, G.2
  • 19
    • 21844473053 scopus 로고    scopus 로고
    • A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids
    • DOI 10.1016/j.jmps.2005.04.004, PII S0022509605000852
    • Horgan, C. O. & Saccomandi, G. 2005 A new constitutive model for fiber-reinforced incompressible nonlinearly elastic solids. J. Mech. Phys. Solids 53, 1985-2015. (doi:10.1016/j.jmps.2005.04.004) (Pubitemid 40952690)
    • (2005) Journal of the Mechanics and Physics of Solids , vol.53 , Issue.9 , pp. 1985-2015
    • Horgan, C.O.1    Saccomandi, G.2
  • 20
    • 33749014090 scopus 로고    scopus 로고
    • Phenomenological hyperelastic strain-stiffening constitutive models for rubber
    • Horgan, C. O. & Saccomandi, G. 2006 Phenomenological hyperelastic strain-stiffening constitutive models for rubber. Rubber Chem. Technol. 79, 152-169. (Pubitemid 44972154)
    • (2006) Rubber Chemistry and Technology , vol.79 , Issue.1 , pp. 152-169
    • Horgan, C.O.1    Saccomandi, G.2
  • 22
    • 6344246769 scopus 로고
    • Free longitudinal vibrations of rubber and tissue strips
    • doi:10.1063/1.1699863
    • Lawton, R. W. & King, A. L. 1951 Free longitudinal vibrations of rubber and tissue strips. J. Appl. Phys. 22, 1340-1343. (doi:10.1063/1.1699863)
    • (1951) J. Appl. Phys. , vol.22 , pp. 1340-1343
    • Lawton, R.W.1    King, A.L.2
  • 23
    • 58149131249 scopus 로고    scopus 로고
    • Soft-cuticle biomechanics: A constitutive model of anisotropy for caterpillar integument
    • doi:10.1016/j.jtbi.2008.10.018
    • Lin, H. T., Dorfmann, A. L. & Trimmer, B. A. 2009 Soft-cuticle biomechanics: A constitutive model of anisotropy for caterpillar integument. J. Theor. Biol. 256, 447-457. (doi:10.1016/j.jtbi.2008.10.018)
    • (2009) J. Theor. Biol. , vol.256 , pp. 447-457
    • Lin, H.T.1    Dorfmann, A.L.2    Trimmer, B.A.3
  • 24
    • 6344291552 scopus 로고    scopus 로고
    • Mechanical response of fiber-reinforced incompressible nonlinear elastic solids
    • doi:10.1016/j.ijnonlinmec.2004.05.003
    • Merodio, J. & Ogden, R. W. 2005 Mechanical response of fiber-reinforced incompressible nonlinear elastic solids. Int. J. Nonlinear Mech. 40, 213-227. (doi:10.1016/j.ijnonlinmec. 2004.05.003)
    • (2005) Int. J. Nonlinear Mech. , vol.40 , pp. 213-227
    • Merodio, J.1    Ogden, R.W.2
  • 25
    • 0035243162 scopus 로고    scopus 로고
    • Kink surfaces in a directionally reinforced neo-Hookean material under plane deformation: I. Mechanical equilibrium
    • DOI 10.1023/A:1011625509754
    • Merodio, J. & Pence, T. J. 2001 Kink surfaces in a directionally reinforced neo-Hookean material under plane deformation I. J. Elasticity 62, 119-144. (doi:10.1023/A:1011625509754) (Pubitemid 32839592)
    • (2001) Journal of Elasticity , vol.62 , Issue.2 , pp. 119-144
    • Merodio, J.1    Pence, T.J.2
  • 26
    • 33748704460 scopus 로고    scopus 로고
    • Remarks on cavity formation in fiber-reinforced incompressible non-linearly elastic solids
    • DOI 10.1016/j.euromechsol.2005.10.006, PII S0997753805001439
    • Merodio, J. & Saccomandi, G. 2006 Remarks on cavity formation in fiber-reinforced incompressible non-linearly elastic solids. Eur. J. Mech. A/Solids 25, 778-792. (doi:10.1016/j.euromechsol.2005.10.006) (Pubitemid 44397556)
    • (2006) European Journal of Mechanics, A/Solids , vol.25 , Issue.5 , pp. 778-792
    • Merodio, J.1    Saccomandi, G.2
  • 27
    • 34247509598 scopus 로고    scopus 로고
    • The rectilinear shear of fiber-reinforced incompressible non-linearly elastic solids
    • DOI 10.1016/j.ijnonlinmec.2006.11.002, PII S0020746206001004
    • Merodio, J., Saccomandi, G. & Sgura, I. 2006 The rectilinear shear of fiber-reinforced incompressible non-linearly elastic solids. Int. J. Nonlinear Mech. 42, 342-354. (doi:10.1016/j.ijnonlinmec.2006.11.002) (Pubitemid 46148930)
    • (2006) International Journal of Non-Linear Mechanics , vol.41 , Issue.9 , pp. 1103-1115
    • Merodio, J.1    Saccomandi, G.2    Sgura, I.3
  • 28
    • 33846431606 scopus 로고    scopus 로고
    • A transversely isotropic viscoelastic constitutive equation for brainstem undergoing finite deformation
    • DOI 10.1115/1.2354208
    • Ning, X., Zhu, Q., Lanir, Y. & Margulies, S. S. 2006 A transversely isotropic viscoelastic constitutive equation for brainstem undergoing finite deformation. J. Biomech. Eng. 128, 925-933. (doi:10.1115/1.2354208) (Pubitemid 46144923)
    • (2006) Journal of Biomechanical Engineering , vol.128 , Issue.6 , pp. 925-933
    • Ning, X.1    Zhu, Q.2    Lanir, Y.3    Margulies, S.S.4
  • 29
    • 0038396658 scopus 로고    scopus 로고
    • Elements of the theory of finite elasticity
    • (eds Y. B. Fu & R. W. Ogden) . London Mathematical Society Lecture Notes Series,Cambridge, UK: Cambridge University Press
    • Ogden, R. W. 2001 Elements of the theory of finite elasticity. In Nonlinear elasticity: Theory and applications (eds Y. B. Fu & R. W. Ogden) . London Mathematical Society Lecture Notes Series, no. 283, pp. 1-57. Cambridge, UK: Cambridge University Press.
    • (2001) Nonlinear Elasticity: Theory and Applications , vol.283 , pp. 1-57
    • Ogden, R.W.1
  • 30
    • 34548273197 scopus 로고    scopus 로고
    • Introducing mesoscopic information into constitutive equations for arterial walls
    • DOI 10.1007/s10237-006-0064-8, Special Issue on Mathematical Modeling
    • Ogden, R. W. & Saccomandi, G. 2007 Introducing mesoscopic information into constitutive equations for arterial walls. Biomech. Model. Mechanobiol. 6, 333-344. (doi:10.1007/s10237-006-0064-8) (Pubitemid 47325974)
    • (2007) Biomechanics and Modeling in Mechanobiology , vol.6 , Issue.5 , pp. 333-344
    • Ogden, R.W.1    Saccomandi, G.2
  • 31
    • 0027685588 scopus 로고
    • Cavitation for incompressible anisotropic nonlinearly elastic spheres
    • doi:10.1007/BF00042634
    • Polignone, D. A. & Horgan, C. O. 1993a Cavitation for incompressible anisotropic nonlinearly elastic spheres. J. Elasticity 33, 27-65. (doi:10.1007/BF00042634)
    • (1993) J. Elasticity , vol.33 , pp. 27-65
    • Polignone, D.A.1    Horgan, C.O.2
  • 32
    • 0027835970 scopus 로고
    • Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres
    • doi:10.1016/0020-7683(93) 90090-T
    • Polignone, D. A. & Horgan, C. O. 1993b Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres. Int. J. Solids Struct. 30, 3381-3416. (doi:10.1016/0020-7683(93) 90090-T)
    • (1993) Int. J. Solids Struct. , vol.30 , pp. 3381-3416
    • Polignone, D.A.1    Horgan, C.O.2
  • 33
    • 0031366166 scopus 로고    scopus 로고
    • Remarks on the Behavior of Simple Directionally Reinforced Incompressible Nonlinearly Elastic Solids
    • Qiu, G. Y. & Pence, T. J. 1997 Remarks on the behavior of simple directionally reinforced incompressible nonlinearly elastic solids. J. Elasticity 49, 1-30. (doi:10.1023/A:1007410321319) (Pubitemid 127506945)
    • (1997) Journal of Elasticity , vol.49 , Issue.1 , pp. 1-30
    • Qiu, G.Y.1    Pence, T.J.2
  • 34
    • 0000298338 scopus 로고
    • Large elastic deformations of isotropic materials IV. Further developments of the general theory
    • doi:10.1098/rsta.1948.0024
    • Rivlin, R. S. 1948 Large elastic deformations of isotropic materials IV. Further developments of the general theory. Phil. Trans. R. Soc. Lond. A 241, 379-397. (doi:10.1098/rsta.1948.0024)
    • (1948) Phil. Trans. R. Soc. Lond. A , vol.241 , pp. 379-397
    • Rivlin, R.S.1
  • 35
    • 0033212686 scopus 로고    scopus 로고
    • A method for planar biaxial mechanical testing that includes in-plane shear
    • Sacks, M. S. 1999 A method for planar biaxial mechanical testing that includes in-plane shear. J. Biomech. Eng. 121, 551-555. (doi:10.1115/1.2835086) (Pubitemid 29503186)
    • (1999) Journal of Biomechanical Engineering , vol.121 , Issue.5 , pp. 551-555
    • Sacks, M.S.1
  • 36
    • 0642274854 scopus 로고    scopus 로고
    • Multiaxial mechanical behavior of biological materials
    • DOI 10.1146/annurev.bioeng.5.011303.120714
    • Sacks, M. S. & Sun, W. 2003 Multiaxial mechanical behavior of biological materials. Ann. Rev. Biomed. Eng. 5, 251-284. (doi:10.1146/annurev. bioeng.5.011303.120714) (Pubitemid 40125313)
    • (2003) Annual Review of Biomedical Engineering , vol.5 , pp. 251-284
    • Sacks, M.S.1    Sun, W.2
  • 37
    • 34547762174 scopus 로고    scopus 로고
    • A theoretical study of the in vivo mechanical properties of angiosperm roots: Constitutive theories and methods of parameter estimation
    • DOI 10.1115/1.2744435
    • Sadovsky, A. V., Baldi, P. F. & Wan, F. Y. M. 2007 A theoretical study of the in vivo mechanical properties of angiosperm roots: Constitutive theories and methods of parameter estimation. J. Eng. Materials Tech. 129, 483-487. (doi:10.1115/1.2744435) (Pubitemid 47229451)
    • (2007) Journal of Engineering Materials and Technology, Transactions of the ASME , vol.129 , Issue.3 , pp. 483-487
    • Sadovsky, A.V.1    Baldi, P.F.2    Wan, F.Y.-M.3
  • 38
    • 33750353380 scopus 로고    scopus 로고
    • Myocardial material parameter estimation - A comparative study for simple shear
    • DOI 10.1115/1.2244576
    • Schmid, H., Nash, M. P., Young, A. A. & Hunter, P. J. 2006 Myocardial material parameter estimation: A comparative study for simple shear. J. Biomech. Eng. 128, 742-750. (doi:10.1115/1.2244576) (Pubitemid 44622803)
    • (2006) Journal of Biomechanical Engineering , vol.128 , Issue.5 , pp. 742-750
    • Schmid, H.1    Nash, M.P.2    Young, A.A.3    Hunter, P.J.4
  • 40
    • 79952345422 scopus 로고    scopus 로고
    • Tests and specifications
    • (ed. A. N. Gent), Cincinnati, OH: Hanser-Gardner Publications
    • Sommer, J. G. & Yeoh, O. H. 2001 Tests and specifications. In Engineering with rubber: How to design rubber components (ed. A. N. Gent) , pp. 307-366. Cincinnati, OH: Hanser-Gardner Publications.
    • (2001) Engineering With Rubber: How to Design Rubber Components , pp. 307-366
    • Sommer, J.G.1    Yeoh, O.H.2
  • 44
    • 34249013119 scopus 로고    scopus 로고
    • Cavitation rheology for soft materials
    • DOI 10.1039/b617050a
    • Zimberlin, J. A., Sanabria-DeLong, N., Tew, G. N. & Crosby A. J. 2007 Cavitation rheology for soft materials. Soft Matter 3, 763-767. (doi:10.1039/b617050a) (Pubitemid 46794186)
    • (2007) Soft Matter , vol.3 , Issue.6 , pp. 763-767
    • Zimberlin, J.A.1    Sanabria-Delong, N.2    Tew, G.N.3    Crosby, A.J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.